20481627600 has 1200 divisors, whose sum is σ = 91164304000. Its totient is φ = 4389396480.

The previous prime is 20481627589. The next prime is 20481627601. The reversal of 20481627600 is 672618402.

20481627600 is a `hidden beast` number, since 2 + 0 + 48 + 1 + 6 + 2 + 7 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20481627601) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 211150752 + ... + 211150848.

Almost surely, 2^20481627600 is an apocalyptic number.

20481627600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20481627600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45582152000).

20481627600 is an abundant number, since it is smaller than the sum of its proper divisors (70682676400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20481627600 is a wasteful number, since it uses less digits than its factorization.

20481627600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 20481627600 in words is "twenty billion, four hundred eighty-one million, six hundred twenty-seven thousand, six hundred".